[PDF] Top 20 On the Cozero Divisor Graphs of Commutative Rings
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On the Cozero Divisor Graphs of Commutative Rings
... Throughout the paper, R is a commutative ring with non-zero identity. We denote the set of maximal ideals and the Jacobson radical of R by Max R and J R , respectively. Also, U R is the set of all unit ... See full document
7
Associated Graphs of Modules Over Commutative Rings
... a commutative ring was introduced in [14], by studying the coloring of a graph constructed by all elements of a commutative ring ...a commutative ring and the graph theoretic properties of the ... See full document
14
The k Zero Divisor Hypergraph of a Commutative Ring
... the rings of 3-zero-divisor ...reduced commutative rings A and B which are not fields, then Γ(A) ∼ = Γ(B) as graphs if and only if A ∼ = B as ... See full document
15
A generalization of zero-divisor graphs
... intersection graphs of the substructures of an algebraic ...intersection graphs of the submodules of modules over arbitrary commutative ...intersection graphs [9,12,15,30,32,34,35]. Note that ... See full document
11
On zero-divisor graphs of quotient rings and complemented zero-divisor graphs
... In [4], the authors proved that for any commutative ring R, Γ(R) ∼ = Γ(T (R)) where T (R) is the quotient ring of R. Here, by the same method as [4], we extend this fact to the reduced right Ore rings. ... See full document
12
Properties of extended ideal based zero divisor graph of a commutative ring
... zero divisor graph of ring and initiated the study of the relation between ring- theoretic properties and graph theoretic ...zero divisor graphs of commutative rings have attracted the ... See full document
5
Construction of Zero Divisor Graphs of Rings
... The zero-divisor graph was first introduced by Beck (1988)[1] in the study of commutative rings. According to him, given a ring 𝑅, 𝐺(𝑅) denote the graph whose vertex set is 𝑅, such that distinct ... See full document
6
Zero divisor graphs of posets
... zero divisor graphs over a non-commutative ...non-commutative rings, matrix rings have received special attention in [11, 13, ...sor graphs of non-commutative ... See full document
13
Several result on SD-prime cordial graphs
... cordial graphs were discussed in [6, 7, 8, ...a commutative ring was introduced by ...a commutative ring with non-zero identity, Z(R) its set of all zero-divisors in R and Z ∗ (R) = ... See full document
7
2-primal weak (σ,δ)-rigid rings
... -rigid rings are reduced rings by Hong ...reduced rings are abelian. Properties of σ-rigid rings have been studied in Krempa [14], Hong [12] and Hirano ... See full document
13
LWE from Non-commutative Group Rings
... group rings and il- lustrate the approach by presenting a public key scheme based on dihedral group ...group rings achieves the right trade-off between security and ... See full document
22
A note on the extended total graph of commutative rings
... a commutative ring with nonzero iden- ...associating graphs with algebraic structures (see [4],[5],[6], [8], [9] and ...a commutative ring GT H (R) with ... See full document
9
On Quasi Weak Commutative Near-rings-II
... A right near-ring N is called weak Commutative,( Definition 9.4 Pilz [9] ) if xyz = xzy for every x,y,z ε N. A right near-ring N is called pseudo commutative ( Definition 2.1, S.Uma and others [10] ) if xyz ... See full document
8
A characterization of Fuzzy neighborhood commutative division rings
... We give a characterization of fuzzy neighborhood commutative division ring; and present an alternative formulation of boundedness introduced in fuzzy neighborhood rings.. The notion of B[r] ... See full document
8
An square Divisor Cordial Labelling of Graphs
... of graphs for which a special set of integer values are assigned to its nodes or edges or both according to some given criteria has been investigated since the middle of the last ...called divisor cordial ... See full document
7
$C_4$-free zero-divisor graphs
... vertices a and b if and only if a 6= b and ab = 0. Thus Γ(R) is the empty graph if and only if R is an integral domain. The concept of zero-divisor graphs has been studied extensively by many authors. For a ... See full document
6
Divisor Cordial Labeling Of Cycle Related Graphs
... The graphs considered here are finite, connected, undirected and ...of divisor cordial labeling was introduced by ...are divisor cordial. They also proved that complete graphs Kn, n ≥ 4 are not ... See full document
8
Isomorphism of generalized triangular matrix rings and recovery of tiles
... These rings did not appear as being matrix-rings at the first sight, nevertheless they proved out to be isomorphic to ...two rings of matrices are isomorphic or ...for commutative rings ... See full document
6
Noncommutative (Crepant) Desingularizations and the Global Spectrum of Commutative Rings
... for commutative rings and rational singularities ...free divisor which does not allow a ...graded rings, we derive a criterion which tells whether their normalizations have rational ... See full document
32
Energy and Wiener Index of Zero-Divisor Graphs
... We encourage the reader to see the special issue of MATCH Communications in Mathematical and in Computer Chemistry for more information on this topic [2].. In this article we discuss th[r] ... See full document
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